Details

Time bar (total: 10.6s)

sample19.0ms

Algorithm
intervals
Results
4.0ms256×pre80true
4.0ms256×body80valid

simplify102.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2257
3537
4727
5887
6977
71037
done1037

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ a b) (+ a b))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-exp-log add-cbrt-cube
associate-*r/ associate-*l/
pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
48.0ms
(* (+ a b) (+ a b))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (+ a b) (+ a b))

simplify2.6s

Counts
43 → 43
Iterations

Useful iterations: done (2.6s)

IterNodesCost
062516
1188453
2742407
33324376
done5001373

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ a b) b)
0.0b
(+ (* (+ a b) a) (* (+ a b) b))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/
add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
pow1 add-exp-log add-cube-cbrt associate-*l* frac-add add-cbrt-cube add-log-exp
associate-*r*
distribute-lft-out
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
26.0ms
(* (+ a b) b)
24.0ms
(+ (* (+ a b) a) (* (+ a b) b))

series57.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (+ a b) b)
27.0ms
(+ (* (+ a b) a) (* (+ a b) b))

simplify3.7s

Counts
43 → 43
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
088643
1262549
2991481
34613455
done5000455

prune126.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (* a a) (* b b)) a)
0.3b
(* (- a b) (* (+ (pow a 3) (pow b 3)) b))
0.3b
(* (+ (* a a) (* b (- b a))) (* (- (* a a) (* b b)) a))
0.3b
(/ (+ (* (+ (* a a) (* b (- b a))) (* (- (* a a) (* b b)) a)) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (+ (* a a) (* b (- b a)))))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
148×associate-*l/
76×frac-times
66×associate-/l/
64×frac-add
58×flip3-- flip3-+ flip-- flip-+
38×associate-*r/
21×add-exp-log add-cbrt-cube
16×pow1
14×add-sqr-sqrt
12×*-un-lft-identity associate-*l*
10×add-cube-cbrt
prod-exp associate-/r/ cbrt-unprod
pow-prod-down
associate-*r*
add-log-exp
times-frac *-commutative associate-/l*
cbrt-undiv div-exp difference-of-squares
frac-2neg clear-num associate-/r* div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 170
Calls
4 calls:
39.0ms
(* (- (* a a) (* b b)) a)
98.0ms
(* (- a b) (* (+ (pow a 3) (pow b 3)) b))
80.0ms
(* (+ (* a a) (* b (- b a))) (* (- (* a a) (* b b)) a))
218.0ms
(/ (+ (* (+ (* a a) (* b (- b a))) (* (- (* a a) (* b b)) a)) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (+ (* a a) (* b (- b a)))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- (* a a) (* b b)) a)
79.0ms
(* (- a b) (* (+ (pow a 3) (pow b 3)) b))
134.0ms
(* (+ (* a a) (* b (- b a))) (* (- (* a a) (* b b)) a))
120.0ms
(/ (+ (* (+ (* a a) (* b (- b a))) (* (- (* a a) (* b b)) a)) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (+ (* a a) (* b (- b a)))))

simplify587.0ms

Counts
182 → 182
Iterations

Useful iterations: done (579.0ms)

IterNodesCost
03677603
114266735
done50026249

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11011
done1011

end0.0ms

sample746.0ms

Algorithm
intervals
Results
219.0ms8000×pre80true
187.0ms8000×body80valid